Details

sample111.0ms

Algorithm

intervals

Results

50.0ms	39×	body	1280	valid
23.0ms	42×	body	640	valid
17.0ms	152×	body	80	valid
7.0ms	17×	body	320	valid
1.0ms	6×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

20.0ms	(+ (* x (sin y)) (* z (cos y)))
15.0ms	(* x (sin y))
16.0ms	(* z (cos y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x (sin y)) (* z (cos y)))
58.0ms	(* x (sin y))
63.0ms	(* z (cos y))

simplify2.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
3	1987
2	562
1	209
0	90

prune320.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series607.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms	(cbrt (cos y))
169.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4560
3	1176
2	391
1	152
0	70

prune649.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (* (cos y) (cos y)) 1/3))
0.1b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 99

Calls

4 calls:

29.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
69.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series356.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
47.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
140.0ms	(cbrt (cos y))

simplify2.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2972
2	964
1	346
0	139

prune763.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
0.2b	(* (cos y) (cos y))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
47×	`prod-exp`
18×	`add-sqr-sqrt` `pow1` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`associate-r`
9×	`pow-to-exp`
7×	`associate-l`
6×	`swap-sqr`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-prod-down` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

65.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
13.0ms	(* (cos y) (cos y))
19.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series320.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
30.0ms	(* (cos y) (cos y))
29.0ms	(* (cos y) (cos y))
134.0ms	(cbrt (cos y))

simplify2.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
3	2874
2	971
1	318
0	125

prune688.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes311.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s	1395×	body	1280	valid
1.1s	1246×	body	640	valid
871.0ms	4414×	body	80	valid
377.0ms	632×	body	320	valid
139.0ms	313×	body	160	valid